AP®︎ Calculus BC: Topic 8.9 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.9 of AP Calculus BC – Volume with Disc Method: Revolving Around the x- or y-Axis.

Questions List

Topic 8.9

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13

Question 1 Easy

Figure

The region RR, shown in the figure, is bounded by y=x+1y=x+1, the x-axis, x=0x=0, and x=2x=2. The region is revolved about the x-axis.

The cross section of the solid perpendicular to the x-axis at xx, where 0<x<20<x<2, is a disc. What is its area?

Aπ(x+1)2\pi(x+1)^2
B2π(x+1)2\pi(x+1)
C4π(x+1)24\pi(x+1)^2
D(x+1)2(x+1)^2

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 8.9: Volume With Disc Method: Revolving Around the X- or Y-Axis

Learning Objective: CHA-5.C

Calculate volumes of solids of revolution using definite integrals.

Essential Knowledge: CHA-5.C.1

Volumes of solids of revolution around the x- or y-axis may be found by using definite integrals with the disc method.

Also applying to college?Free college essay reviewGet your college essay graded